A205357 Number of (n+1)X5 0..2 arrays with every 2X2 subblock having the same number of equal diagonal or antidiagonal elements, and new values 0..2 introduced in row major order

770, 8948, 107330, 1329947, 16820450, 216561893, 2826905666, 37314167621, 496830187346, 6659987446001, 89739370179794, 1213940517313589, 16470111480319490, 223953891638398121, 3050276653364209634

Offset

1,1

Comments

Column 4 of A205361

Links

R. H. Hardin, Table of n, a(n) for n = 1..210

Formula

Empirical: a(n) = 41*a(n-1) -634*a(n-2) +4322*a(n-3) -6905*a(n-4) -79071*a(n-5) +489544*a(n-6) -808128*a(n-7) -1807684*a(n-8) +9900708*a(n-9) -17129232*a(n-10) +13584240*a(n-11) -4147200*a(n-12)

Example

Some solutions for n=4
..0..1..1..2..0....0..0..0..0..0....0..1..2..1..2....0..1..1..1..1
..2..2..0..2..0....0..0..0..0..0....2..1..2..1..2....1..1..2..1..2
..0..1..1..2..1....0..0..0..0..0....0..0..2..0..2....0..1..1..1..1
..0..2..0..2..0....0..0..0..0..0....2..1..1..1..1....0..0..1..0..1
..0..1..0..1..0....0..0..0..0..0....0..0..0..0..2....0..1..2..1..1

Crossrefs

Sequence in context: A252077 A236784 A205622 * A252551 A045078 A252550

Adjacent sequences: A205354 A205355 A205356 * A205358 A205359 A205360

Keyword

nonn

Author

R. H. Hardin Jan 26 2012

Status

approved